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     "source": [
      "Korteweg de Vries equation\n",
      "======================================================================\n",
      "\n",
      "This page shows how the [Korteweg-de Vries\n",
      "equation](http://en.wikipedia.org/wiki/Korteweg-de_Vries_equation) can\n",
      "be solved on a periodic domain using the [method of\n",
      "lines](http://www.scholarpedia.org/article/Method_of_lines), with the\n",
      "spatial derivatives computed using the pseudo-spectral method. In this\n",
      "method, the derivatives are computed in the frequency domain by first\n",
      "applying the FFT to the data, then multiplying by the appropriate values\n",
      "and converting back to the spatial domain with the inverse FFT. This\n",
      "method of differentiation is implemented by the **diff** function in the\n",
      "module **scipy.fftpack**.\n",
      "\n",
      "We discretize the spatial domain, and compute the spatial derivatives\n",
      "using the **diff** function defined in the **scipy.fftpack** module. In\n",
      "the following code, this function is given the alias **psdiff** to avoid\n",
      "confusing it with the numpy function **diff**. By discretizing only the\n",
      "spatial dimension, we obtain a system of ordinary differential\n",
      "equations, which is implemented in the function **kdv(u, t, L)**. The\n",
      "function **kdv\\_solution(u0, t, L)** uses **scipy.integrate.odeint** to\n",
      "solve this system."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#!python\n",
      "\n",
      "import numpy as np\n",
      "from scipy.integrate import odeint\n",
      "from scipy.fftpack import diff as psdiff\n",
      "\n",
      "\n",
      "def kdv_exact(x, c):\n",
      "    \"\"\"Profile of the exact solution to the KdV for a single soliton on the real line.\"\"\"\n",
      "    u = 0.5*c*np.cosh(0.5*np.sqrt(c)*x)**(-2)\n",
      "    return u\n",
      "\n",
      "def kdv(u, t, L):\n",
      "    \"\"\"Differential equations for the KdV equation, discretized in x.\"\"\"\n",
      "    # Compute the x derivatives using the pseudo-spectral method.\n",
      "    ux = psdiff(u, period=L)\n",
      "    uxxx = psdiff(u, period=L, order=3)\n",
      "\n",
      "    # Compute du/dt.    \n",
      "    dudt = -6*u*ux - uxxx\n",
      "\n",
      "    return dudt\n",
      "\n",
      "def kdv_solution(u0, t, L):\n",
      "    \"\"\"Use odeint to solve the KdV equation on a periodic domain.\n",
      "    \n",
      "    `u0` is initial condition, `t` is the array of time values at which\n",
      "    the solution is to be computed, and `L` is the length of the periodic\n",
      "    domain.\"\"\"\n",
      "\n",
      "    sol = odeint(kdv, u0, t, args=(L,), mxstep=5000)\n",
      "    return sol\n",
      "\n",
      "\n",
      "if __name__ == \"__main__\":\n",
      "    # Set the size of the domain, and create the discretized grid.\n",
      "    L = 50.0\n",
      "    N = 64\n",
      "    dx = L / (N - 1.0)\n",
      "    x = np.linspace(0, (1-1.0/N)*L, N)\n",
      "\n",
      "    # Set the initial conditions.\n",
      "    # Not exact for two solitons on a periodic domain, but close enough...\n",
      "    u0 = kdv_exact(x-0.33*L, 0.75) + kdv_exact(x-0.65*L, 0.4)\n",
      "\n",
      "    # Set the time sample grid.\n",
      "    T = 200\n",
      "    t = np.linspace(0, T, 501)\n",
      "\n",
      "    print(\"Computing the solution.\")\n",
      "    sol = kdv_solution(u0, t, L)\n",
      "\n",
      "\n",
      "    print(\"Plotting.\")\n",
      "\n",
      "    import matplotlib.pyplot as plt\n",
      "\n",
      "    plt.figure(figsize=(6,5))\n",
      "    plt.imshow(sol[::-1, :], extent=[0,L,0,T])\n",
      "    plt.colorbar()\n",
      "    plt.xlabel('x')\n",
      "    plt.ylabel('t')\n",
      "    plt.axis('normal')\n",
      "    plt.title('Korteweg-de Vries on a Periodic Domain')\n",
      "    plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Computing the solution.\n",
        "Plotting."
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n"
       ]
      },
      {
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4LJ6F8C1yJ8CGeKEWpZCLUspGaGT9tA7dHe3zPSQQ67IJrzku5HXtXQQsPsXS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\n/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NFMGYqdNJ1ykM5FkM5ZUGDGl3zsd1zSdrvrgCmcXHEdrnA7Hd8EV7gJer5EuML5Zu9s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       "text": [
        "<matplotlib.figure.Figure at 0x7fa53667f650>"
       ]
      }
     ],
     "prompt_number": 1
    }
   ],
   "metadata": {}
  }
 ]
}